Influence of linear work hardening on the elastic–plastic behavior of a functionally graded thick-walled tube

Xin, Libiao; Lu, Wei; Yang, Shengyou; Ju, Chengjian; Dui, Guansuo

doi:10.1007/s00707-016-1565-x

Cited by 10 publications

(3 citation statements)

References 25 publications

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“…For thick-walled tube, it was highlighted that Poisson's ratio has negligible effects on the stresses but has great effects on the radical displacement. If the stresses are considered primarily, the assumption of constant Poisson's ratio is reasonable [56,57]. Therefore, for the sake of simplicity, it is considered to be constant.…”

Section: Methodsmentioning

confidence: 99%

Effect of geometrical imperfection on the thermomechanical behavior of functionally graded material rotating disk

Babamiri

Shahrjerdi

Bayat

2020

J Braz. Soc. Mech. Sci. Eng.

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The thermoelastic analysis of axisymmetric bending of rotating functionally graded material (FGM) disks, with and without imperfection, is presented. Material properties are assumed to be temperature dependent and graded in the thickness direction following a grading index power-law distribution. Theories of von Karman and first-order shear deformation were implemented to calculate the stress and displacement fields. Numerical results are given for evaluating the effects of temperature, material properties and imperfection on displacement and stress fields in a disk with roller-supported boundary conditions. Small and large deflection theories are considered to obtain the stress field and displacement field for the perfect and imperfect in FG disks and also in full metal (or full ceramic) disks. A series-form solution is used to solve the largedeflection nonlinear equations. The results are compared and validated with the results from the finite element method. It is observed that applying the initial geometric imperfection to a rotating solid disk would increase the value of radial stress, circumferential stress and vertical displacement.

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Section: Methodsmentioning

confidence: 99%

Effect of geometrical imperfection on the thermomechanical behavior of functionally graded material rotating disk

Babamiri

Shahrjerdi

Bayat

2020

J Braz. Soc. Mech. Sci. Eng.

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“…In case of an FG material, it is assumed that the yield strength of the composite can be determined using the rule of mixtures as [38]…”

Section: Design Criterion For Cylindrical Vesselmentioning

confidence: 99%

Novel material tailoring method for internally pressurized FG spherical and cylindrical vessels

2018

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A new material tailoring method for spherical and cylindrical vessels made of functionally graded materials (FGMs) is presented. It is assumed that the FG material is composed of an Al-SiC metallic-matrix composite. A uniform ratio of inplane shear stress to yield strength [ϕ(r )] is used as the design criterion to utilize the maximum capacity of the vessel. The aim is to find a distribution of SiC particles in the radial direction, i.e., f (r ), that achieves a uniform index ϕ(r ) = const. through the wall thickness of the internally pressurized spherical or cylindrical vessel. Both the Mori-Tanaka and rule-of-mixtures homogenization schemes are used to express the effective elastic module and Poisson's ratio. Moreover, the strength of the composite is expressed based on the rule of mixtures. Besides, finite element simulation is carried out to verify the accuracy of the analytical solution. The effects of input parameters such as the internal pressure, strength of the SiC particles, ratio of in-plane shear stress to effective yield strength, and choice of homogenization scheme on the tailored distribution of the SiC volume fraction in the radial direction are also investigated.Rule of mixtures List of symbols a, b Inner and outer radius of sphere or cylinder, respectively u Radial displacement c Constant value of in-plane shear stress divided by effective yield strength f (r ) Radial distribution of SiC particles N 1 , N 2 Constants related to material properties based on Mori-Tanaka homogenization C 1 − C 9 Constants related to material properties based on Mori-Tanaka homogenization Z 1 − Z 9 Constants related to material properties based on Mori-Tanaka homogenization P a , P b Internal and external pressure, respectively E Elastic modulus K Bulk modulus Y Yield strength μ Shear modulus B Ali Parvizi

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“…Recently, by assuming the elastic modulus and magnetic permeability into as power series forms (for example in [35], by setting also thoroughly researched [37][38][39][40]. However, all these works ignored the influences from Poisson's ratio which has been reflected in [41][42][43] by analyzing the radical displacements and stress components of the mechanical loaded FGM tubes under a uniform magnetic field. Furthermore, the FGMs can be literally and theoretically considered as being composed by grading its different components in certain directions by some specific volume fraction forms; but if the expressions of the components' volume fractions are set with inappropriate forms, rather complex mathematical derivation efforts and complicated results originate [44].…”

Section: Introductionmentioning

confidence: 99%

Revisiting the elastic solution for an inner-pressured functionally graded thick-walled tube within a uniform magnetic field

Dui

Pan

et al. 2018

Appl. Math. Mech.-Engl. Ed.

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In this paper, the mechanical responses of a thick-walled functionally graded hollow cylinder subjected to uniform magnetic field and inner-pressurized loads are studied. Rather than directly assuming the material constants into some certain function forms as displayed in pre-researches, we firstly give the volume fractions of different constituents of the FGM cylinder and then determine the expressions of material constants. By the use of the Voigt method the corresponding analytical solutions of displacements in radical direction, the strain and stress components and the perturbation magnetic field vector are derived by the following. In numerical part, 1 the influences of volume fraction on displacement, stain and stress components and the magnetic perturbation filed vector are investigated; indicated by the results, we can conclude that the Poisson's ratio has a significant effect on the FGM cylinder's mechanical behaviors. Moreover, by some appropriate choices of the material constants it can be found that the obtained results in this paper can reduce to some special cases given in previous literatures.

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Influence of linear work hardening on the elastic–plastic behavior of a functionally graded thick-walled tube

Cited by 10 publications

References 25 publications

Effect of geometrical imperfection on the thermomechanical behavior of functionally graded material rotating disk

Effect of geometrical imperfection on the thermomechanical behavior of functionally graded material rotating disk

Novel material tailoring method for internally pressurized FG spherical and cylindrical vessels

Revisiting the elastic solution for an inner-pressured functionally graded thick-walled tube within a uniform magnetic field

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